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Answer:

∠TAN = 36°

Explanation:

  • The figure shows an isoceles triangle.

An isoceles triangle has two equal sides and equal angle measure.

The total interior angle of a triangle sum ups to 180°

∠TAN = ∠TNA

=========

  • ∠TAN + ∠TNA + ∠ATN = 180°
  • 2∠TAN = 180° - 108°
  • 2∠TAN = 72°
  • ∠TAN = 36°

Answer:

B

Step-by-step explanation:

the sides of a regular pentagon are congruent , then

AT = NT and so Δ TAN is isosceles with base angles congruent , so

∠ TAN = [tex]\frac{180-108}{2}[/tex] = [tex]\frac{72}{2}[/tex] = 36° → B

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